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Finding the Third Proportional to 257,557.50 and 559,437.75

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Solution

The third proportional to 257,557.50 and 559,437.75 is: 1,215,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,557.50 : 559,437.75 = 559,437.75 : x
  2. Step 2: Convert to fraction form
    257,557.50/559,437.75 = 559,437.75/x
  3. Step 3: Cross multiply
    257,557.50x = 559,437.75 × 559,437.75
  4. Step 4: Simplify right side
    257,557.50x = 312,970,596,125.06
  5. Step 5: Solve for x
    x = 312,970,596,125.06/257,557.50
  6. Step 6: Final answer
    x = 1,215,148.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.